combine targetless IK chain with copy rotation constraints
What you are trying to do is to have FK control and IK control on the same bone chain.

As you stated there are dependency issues, and this cannot ever work.

What you need to do is to make 2 separate chains - FK and IK, and a 3rd deform chain that blends between them.

Another thing you can do is to have main IK chain for the general shape, and then FK chain that copies the main one and is there only for fine minor tweaks - but this will break the endpoint location.